English

$G_2$-Grassmannians and derived equivalences

Algebraic Geometry 2017-01-17 v2

Abstract

We prove the derived equivalence of a pair of non-compact Calabi-Yau 7-folds, which are the total spaces of certain rank 2 bundles on G2G_2-Grassmannians. The proof follows that of the derived equivalence of Calabi-Yau 3-folds in G2G_2-Grassmannians by Kuznetsov closely.

Keywords

Cite

@article{arxiv.1612.08443,
  title  = {$G_2$-Grassmannians and derived equivalences},
  author = {Kazushi Ueda},
  journal= {arXiv preprint arXiv:1612.08443},
  year   = {2017}
}

Comments

8 pages. v2: updated references

R2 v1 2026-06-22T17:34:40.902Z